MEDIUM
Mathematics
IMPORTANT
Earn 100
Show that any twice continuously differentiable function has at least one abscissa of the point of inflection on the graph of the function between two points of extremum.
Important Questions on Application of Differential Calculus to Investigation of Functions
HARD
Mathematics
IMPORTANT
Taking the function as an example, ascertain that there any be no points of extremum between the abscissas of the points of inflection on the graph of a function.
HARD
Mathematics
IMPORTANT
Prove that any polynomial with positive coefficients, which is an even function, is concave everywhere and has only one point of minimum.
HARD
Mathematics
IMPORTANT
Prove that any polynomial of an odd degree has at least one point of inflection.
HARD
Mathematics
IMPORTANT
Proceeding directly from the definition, ascertain that the straight line is an asymptote of the curve .
